TSTP Solution File: GRP253-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP253-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 29 16:54:01 EDT 2024
% Result : Unsatisfiable 10.57s 11.02s
% Output : Proof 10.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP253-1 : TPTP v8.2.0. Released v2.5.0.
% 0.13/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 26 19:35:09 EDT 2024
% 0.19/0.34 % CPUTime :
% 0.19/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.54/10.75 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.57/11.02 % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.1nuMGCVmee/cvc5---1.0.5_22368.smt2
% 10.57/11.02 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.1nuMGCVmee/cvc5---1.0.5_22368.smt2
% 10.57/11.07 (assume a0 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))
% 10.57/11.07 (assume a1 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))
% 10.57/11.07 (assume a2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.57/11.07 (assume a3 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c6)))
% 10.57/11.07 (assume a4 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c7)))
% 10.57/11.07 (assume a5 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)))
% 10.57/11.07 (assume a6 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c6)))
% 10.57/11.07 (assume a7 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c7)))
% 10.57/11.07 (assume a8 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)))
% 10.57/11.07 (assume a9 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c6)))
% 10.57/11.07 (assume a10 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.inverse tptp.sk_c4) tptp.sk_c7)))
% 10.57/11.07 (assume a11 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)))
% 10.57/11.07 (assume a12 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c6)))
% 10.57/11.07 (assume a13 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c7)))
% 10.57/11.07 (assume a14 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)))
% 10.57/11.07 (assume a15 (or (= (tptp.inverse tptp.sk_c3) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c6)))
% 10.57/11.07 (assume a16 (or (= (tptp.inverse tptp.sk_c3) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c7)))
% 10.57/11.07 (assume a17 (or (= (tptp.inverse tptp.sk_c3) tptp.sk_c6) (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)))
% 10.57/11.07 (assume a18 (or (= (tptp.multiply tptp.sk_c3 tptp.sk_c5) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c6)))
% 10.57/11.07 (assume a19 (or (= (tptp.multiply tptp.sk_c3 tptp.sk_c5) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c7)))
% 10.57/11.07 (assume a20 (or (= (tptp.multiply tptp.sk_c3 tptp.sk_c5) tptp.sk_c6) (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)))
% 10.57/11.07 (assume a21 (forall ((X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted)) (or (not (= (tptp.multiply X2 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X2) tptp.sk_c7)) (not (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X3) tptp.sk_c6)) (not (= (tptp.inverse X4) tptp.sk_c6)) (not (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.multiply X1 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)))))
% 10.57/11.07 (step t1 (cl (not (= (forall ((X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted)) (or (not (= (tptp.multiply X2 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X2) tptp.sk_c7)) (not (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X3) tptp.sk_c6)) (not (= (tptp.inverse X4) tptp.sk_c6)) (not (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.multiply X1 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1)))))))) (not (forall ((X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted)) (or (not (= (tptp.multiply X2 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X2) tptp.sk_c7)) (not (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X3) tptp.sk_c6)) (not (= (tptp.inverse X4) tptp.sk_c6)) (not (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.multiply X1 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.inverse tptp.sk_c5) tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))))) :rule equiv_pos2)
% 10.57/11.07 (anchor :step t2 :args ((X2 $$unsorted) (:= X2 X2) (X3 $$unsorted) (:= X3 X3) (X4 $$unsorted) (:= X4 X4) (X1 $$unsorted) (:= X1 X1)))
% 10.57/11.07 (step t2.t1 (cl (= X2 X2)) :rule refl)
% 10.57/11.07 (step t2.t2 (cl (= X3 X3)) :rule refl)
% 10.57/11.07 (step t2.t3 (cl (= X4 X4)) :rule refl)
% 10.57/11.07 (step t2.t4 (cl (= X1 X1)) :rule refl)
% 10.57/11.07 (step t2.t5 (cl (= (= (tptp.multiply X2 tptp.sk_c7) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7)))) :rule all_simplify)
% 10.57/11.07 (step t2.t6 (cl (= (not (= (tptp.multiply X2 tptp.sk_c7) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))))) :rule cong :premises (t2.t5))
% 10.57/11.07 (step t2.t7 (cl (= (= (tptp.inverse X2) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse X2)))) :rule all_simplify)
% 10.57/11.07 (step t2.t8 (cl (= (not (= (tptp.inverse X2) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.inverse X2))))) :rule cong :premises (t2.t7))
% 10.57/11.07 (step t2.t9 (cl (= (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c5) (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6)))) :rule all_simplify)
% 10.57/11.07 (step t2.t10 (cl (= (not (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c5)) (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))))) :rule cong :premises (t2.t9))
% 10.57/11.07 (step t2.t11 (cl (= (= (tptp.inverse X3) tptp.sk_c6) (= tptp.sk_c6 (tptp.inverse X3)))) :rule all_simplify)
% 10.57/11.07 (step t2.t12 (cl (= (not (= (tptp.inverse X3) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.inverse X3))))) :rule cong :premises (t2.t11))
% 10.57/11.07 (step t2.t13 (cl (= (= (tptp.inverse X4) tptp.sk_c6) (= tptp.sk_c6 (tptp.inverse X4)))) :rule all_simplify)
% 10.57/11.07 (step t2.t14 (cl (= (not (= (tptp.inverse X4) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.inverse X4))))) :rule cong :premises (t2.t13))
% 10.57/11.07 (step t2.t15 (cl (= (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5)))) :rule all_simplify)
% 10.57/11.07 (step t2.t16 (cl (= (not (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))))) :rule cong :premises (t2.t15))
% 10.57/11.07 (step t2.t17 (cl (= (= (tptp.multiply X1 tptp.sk_c7) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7)))) :rule all_simplify)
% 10.57/11.07 (step t2.t18 (cl (= (not (= (tptp.multiply X1 tptp.sk_c7) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))))) :rule cong :premises (t2.t17))
% 10.57/11.07 (step t2.t19 (cl (= (= (tptp.inverse X1) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse X1)))) :rule all_simplify)
% 10.57/11.07 (step t2.t20 (cl (= (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.inverse X1))))) :rule cong :premises (t2.t19))
% 10.57/11.07 (step t2.t21 (cl (= (= (tptp.inverse tptp.sk_c5) tptp.sk_c6) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))) :rule all_simplify)
% 10.57/11.07 (step t2.t22 (cl (= (not (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))))) :rule cong :premises (t2.t21))
% 10.57/11.07 (step t2.t23 (cl (= (or (not (= (tptp.multiply X2 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X2) tptp.sk_c7)) (not (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X3) tptp.sk_c6)) (not (= (tptp.inverse X4) tptp.sk_c6)) (not (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.multiply X1 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.inverse tptp.sk_c5) tptp.sk_c6))) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))) (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))))) :rule cong :premises (t2.t6 t2.t8 t2.t10 t2.t12 t2.t14 t2.t16 t2.t18 t2.t20 t2.t22))
% 10.57/11.07 (step t2 (cl (= (forall ((X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted)) (or (not (= (tptp.multiply X2 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X2) tptp.sk_c7)) (not (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X3) tptp.sk_c6)) (not (= (tptp.inverse X4) tptp.sk_c6)) (not (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.multiply X1 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)))) (forall ((X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))) (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))))))) :rule bind)
% 10.57/11.07 (step t3 (cl (= (forall ((X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))) (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1)))))))) :rule all_simplify)
% 10.57/11.07 (step t4 (cl (= (forall ((X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted)) (or (not (= (tptp.multiply X2 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X2) tptp.sk_c7)) (not (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X3) tptp.sk_c6)) (not (= (tptp.inverse X4) tptp.sk_c6)) (not (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.multiply X1 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1)))))))) :rule trans :premises (t2 t3))
% 10.57/11.07 (step t5 (cl (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))))) :rule resolution :premises (t1 t4 a21))
% 10.57/11.07 (step t6 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1)))))) :rule or :premises (t5))
% 10.57/11.07 (step t7 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t8)
% 10.57/11.07 (assume t8.a0 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))))
% 10.57/11.07 (step t8.t1 (cl (or (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))))) :rule forall_inst :args ((:= X3 tptp.identity)))
% 10.57/11.07 (step t8.t2 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) :rule or :premises (t8.t1))
% 10.57/11.07 (step t8.t3 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) :rule resolution :premises (t8.t2 t8.a0))
% 10.57/11.07 (step t8 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) :rule subproof :discharge (t8.a0))
% 10.57/11.07 (step t9 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) :rule resolution :premises (t7 t8))
% 10.57/11.07 (step t10 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) (not (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))))) :rule implies_neg2)
% 10.57/11.07 (step t11 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))))) :rule resolution :premises (t9 t10))
% 10.57/11.07 (step t12 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))))) :rule contraction :premises (t11))
% 10.57/11.07 (step t13 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) :rule implies :premises (t12))
% 10.57/11.07 (step t14 (cl (not (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule or_pos)
% 10.57/11.07 (step t15 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))) (not (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))))) :rule reordering :premises (t14))
% 10.57/11.07 (step t16 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) :rule and_neg)
% 10.57/11.07 (step t17 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t18)
% 10.57/11.07 (assume t18.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))
% 10.57/11.07 (assume t18.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))
% 10.57/11.07 (assume t18.a2 (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))
% 10.57/11.07 (assume t18.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.57/11.07 (assume t18.a4 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.57/11.07 (assume t18.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.57/11.07 (assume t18.a6 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.57/11.07 (assume t18.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 10.57/11.07 (assume t18.a8 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.57/11.07 (assume t18.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 10.57/11.07 (assume t18.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.57/11.07 (assume t18.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))
% 10.57/11.07 (step t18.t1 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t18.t2)
% 10.57/11.07 (assume t18.t2.a0 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.57/11.07 (assume t18.t2.a1 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.57/11.07 (assume t18.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.57/11.07 (assume t18.t2.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.57/11.07 (assume t18.t2.a4 (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))
% 10.57/11.07 (assume t18.t2.a5 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))
% 10.57/11.07 (assume t18.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))
% 10.57/11.07 (assume t18.t2.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 10.57/11.07 (assume t18.t2.a8 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.57/11.07 (assume t18.t2.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 10.57/11.07 (assume t18.t2.a10 (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))
% 10.57/11.07 (assume t18.t2.a11 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.57/11.07 (step t18.t2.t1 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 10.57/11.07 (step t18.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule cong :premises (t18.t2.a0 t18.t2.t1))
% 10.57/11.07 (step t18.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t18.t2.a0))
% 10.57/11.07 (step t18.t2.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t18.t2.t3 t18.t2.a11))
% 10.57/11.07 (step t18.t2.t5 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 10.57/11.07 (step t18.t2.t6 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.57/11.07 (step t18.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t18.t2.a0 t18.t2.t6))
% 10.57/11.07 (step t18.t2.t8 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t18.t2.t3 t18.t2.a8))
% 10.57/11.07 (step t18.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t18.t2.a7))
% 10.57/11.07 (step t18.t2.t10 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t18.t2.t9))
% 10.57/11.07 (step t18.t2.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t18.t2.a8))
% 10.57/11.07 (step t18.t2.t12 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7))) :rule cong :premises (t18.t2.t10 t18.t2.t11))
% 10.57/11.07 (step t18.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7))) :rule symm :premises (t18.t2.a6))
% 10.57/11.07 (step t18.t2.t14 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule symm :premises (t18.t2.t13))
% 10.57/11.07 (step t18.t2.t15 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c7)) :rule symm :premises (t18.t2.a4))
% 10.57/11.07 (step t18.t2.t16 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t18.t2.t15))
% 10.57/11.07 (step t18.t2.t17 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c7)) :rule symm :premises (t18.t2.t16))
% 10.57/11.07 (step t18.t2.t18 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t18.t2.a5))
% 10.57/11.07 (step t18.t2.t19 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule symm :premises (t18.t2.t18))
% 10.57/11.07 (step t18.t2.t20 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t18.t2.t19))
% 10.57/11.07 (step t18.t2.t21 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t18.t2.t17 t18.t2.t20))
% 10.57/11.07 (step t18.t2.t22 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t18.t2.a8 t18.t2.t7 t18.t2.t8 t18.t2.t12 t18.t2.t14 t18.t2.t21))
% 10.57/11.07 (step t18.t2.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t18.t2.t5 t18.t2.t22))
% 10.57/11.07 (step t18.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t18.t2.a3))
% 10.57/11.07 (step t18.t2.t25 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule symm :premises (t18.t2.t24))
% 10.57/11.07 (step t18.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t18.t2.t25))
% 10.57/11.07 (step t18.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t18.t2.a2))
% 10.57/11.07 (step t18.t2.t28 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t18.t2.t27 t18.t2.a1))
% 10.57/11.07 (step t18.t2.t29 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t18.t2.a1))
% 10.57/11.07 (step t18.t2.t30 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t18.t2.a0 t18.t2.t29))
% 10.57/11.07 (step t18.t2.t31 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.57/11.07 (step t18.t2.t32 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t18.t2.t3 t18.t2.t31))
% 10.57/11.07 (step t18.t2.t33 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t18.t2.a10))
% 10.57/11.07 (step t18.t2.t34 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule symm :premises (t18.t2.t33))
% 10.57/11.07 (step t18.t2.t35 (cl (= tptp.identity (tptp.inverse tptp.sk_c5))) :rule trans :premises (t18.t2.a2 t18.t2.t23 t18.t2.t26 t18.t2.t28 t18.t2.t30 t18.t2.t32 t18.t2.t29 t18.t2.t34))
% 10.57/11.07 (step t18.t2.t36 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t18.t2.a11))
% 10.57/11.07 (step t18.t2.t37 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule cong :premises (t18.t2.t35 t18.t2.t36))
% 10.57/11.07 (step t18.t2.t38 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t18.t2.a9))
% 10.57/11.07 (step t18.t2.t39 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule symm :premises (t18.t2.t38))
% 10.57/11.07 (step t18.t2.t40 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t18.t2.t39))
% 10.57/11.07 (step t18.t2.t41 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule trans :premises (t18.t2.a11 t18.t2.t2 t18.t2.t4 t18.t2.t37 t18.t2.t40 t18.t2.a2 t18.t2.t23 t18.t2.t26 t18.t2.t28 t18.t2.t30 t18.t2.t32))
% 10.57/11.07 (step t18.t2 (cl (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule subproof :discharge (t18.t2.a0 t18.t2.a1 t18.t2.a2 t18.t2.a3 t18.t2.a4 t18.t2.a5 t18.t2.a6 t18.t2.a7 t18.t2.a8 t18.t2.a9 t18.t2.a10 t18.t2.a11))
% 10.57/11.07 (step t18.t3 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.57/11.07 (step t18.t4 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.57/11.07 (step t18.t5 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t18.t6 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.57/11.07 (step t18.t7 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.57/11.07 (step t18.t8 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t18.t9 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule and_pos)
% 10.57/11.07 (step t18.t10 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 10.57/11.07 (step t18.t11 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t18.t12 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t18.t13 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t18.t14 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t18.t15 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6)) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))))) :rule resolution :premises (t18.t2 t18.t3 t18.t4 t18.t5 t18.t6 t18.t7 t18.t8 t18.t9 t18.t10 t18.t11 t18.t12 t18.t13 t18.t14))
% 10.57/11.07 (step t18.t16 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule reordering :premises (t18.t15))
% 10.57/11.07 (step t18.t17 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule contraction :premises (t18.t16))
% 10.57/11.07 (step t18.t18 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t18.t1 t18.t17))
% 10.57/11.07 (step t18.t19 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg2)
% 10.57/11.07 (step t18.t20 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t18.t18 t18.t19))
% 10.57/11.07 (step t18.t21 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule contraction :premises (t18.t20))
% 10.57/11.07 (step t18.t22 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule implies :premises (t18.t21))
% 10.57/11.07 (step t18.t23 (cl (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_neg)
% 10.57/11.07 (step t18.t24 (cl (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule resolution :premises (t18.t23 t18.a3 t18.a6 t18.a5 t18.a10 t18.a1 t18.a0 t18.a11 t18.a7 t18.a4 t18.a9 t18.a2 t18.a8))
% 10.57/11.07 (step t18.t25 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t18.t22 t18.t24))
% 10.57/11.07 (step t18 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule subproof :discharge (t18.a0 t18.a1 t18.a2 t18.a3 t18.a4 t18.a5 t18.a6 t18.a7 t18.a8 t18.a9 t18.a10 t18.a11))
% 10.57/11.07 (step t19 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t20 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.57/11.07 (step t21 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t22 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.57/11.07 (step t23 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t24 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t25 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.57/11.07 (step t26 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 10.57/11.07 (step t27 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t28 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t29 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.57/11.07 (step t30 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule and_pos)
% 10.57/11.07 (step t31 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))))) :rule resolution :premises (t18 t19 t20 t21 t22 t23 t24 t25 t26 t27 t28 t29 t30))
% 10.57/11.07 (step t32 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule reordering :premises (t31))
% 10.57/11.07 (step t33 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule contraction :premises (t32))
% 10.57/11.07 (step t34 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t17 t33))
% 10.57/11.07 (step t35 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg2)
% 10.57/11.07 (step t36 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t34 t35))
% 10.57/11.07 (step t37 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule contraction :premises (t36))
% 10.57/11.07 (step t38 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule implies :premises (t37))
% 10.57/11.07 (step t39 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t16 t38))
% 10.57/11.07 (step t40 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6)) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) :rule reordering :premises (t39))
% 10.57/11.07 (step t41 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c5) tptp.sk_c6))) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))) :rule equiv_pos2)
% 10.57/11.07 (step t42 (cl (= (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule all_simplify)
% 10.57/11.07 (step t43 (cl (= (= (tptp.inverse tptp.sk_c5) tptp.sk_c6) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))) :rule all_simplify)
% 10.57/11.07 (step t44 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))))) :rule cong :premises (t42 t43))
% 10.57/11.07 (step t45 (cl (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))) :rule resolution :premises (t41 t44 a5))
% 10.57/11.07 (step t46 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule or :premises (t45))
% 10.57/11.07 (step t47 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule and_neg)
% 10.57/11.07 (step t48 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t49)
% 10.57/11.07 (assume t49.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.57/11.07 (assume t49.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.57/11.07 (assume t49.a2 (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))
% 10.57/11.07 (assume t49.a3 (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))
% 10.57/11.07 (assume t49.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.57/11.07 (assume t49.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.57/11.07 (assume t49.a6 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.57/11.07 (assume t49.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.57/11.07 (assume t49.a8 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.57/11.07 (assume t49.a9 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 10.57/11.07 (assume t49.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.57/11.07 (assume t49.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.57/11.07 (assume t49.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.57/11.07 (step t49.t1 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t49.t2)
% 10.57/11.07 (assume t49.t2.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))
% 10.57/11.07 (assume t49.t2.a1 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 10.57/11.07 (assume t49.t2.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.57/11.07 (assume t49.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.57/11.07 (assume t49.t2.a4 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.57/11.07 (assume t49.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.57/11.07 (assume t49.t2.a6 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.57/11.07 (assume t49.t2.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.57/11.07 (assume t49.t2.a8 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.57/11.07 (assume t49.t2.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.57/11.07 (assume t49.t2.a10 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.57/11.07 (assume t49.t2.a11 (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))
% 10.57/11.07 (assume t49.t2.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.57/11.07 (step t49.t2.t1 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t49.t2.a12))
% 10.57/11.07 (step t49.t2.t2 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t49.t2.t1))
% 10.57/11.07 (step t49.t2.t3 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c6)) :rule symm :premises (t49.t2.a11))
% 10.57/11.07 (step t49.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t49.t2.a2))
% 10.57/11.07 (step t49.t2.t5 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.57/11.07 (step t49.t2.t6 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t49.t2.t4 t49.t2.t5))
% 10.57/11.07 (step t49.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule symm :premises (t49.t2.t6))
% 10.57/11.07 (step t49.t2.t8 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t49.t2.a10))
% 10.57/11.07 (step t49.t2.t9 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t49.t2.a2 t49.t2.t8))
% 10.57/11.07 (step t49.t2.t10 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule symm :premises (t49.t2.t9))
% 10.57/11.07 (step t49.t2.t11 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t49.t2.a3))
% 10.57/11.07 (step t49.t2.t12 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t49.t2.t11 t49.t2.a10))
% 10.57/11.07 (step t49.t2.t13 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t49.t2.t12))
% 10.57/11.07 (step t49.t2.t14 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 10.57/11.07 (step t49.t2.t15 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.57/11.07 (step t49.t2.t16 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t49.t2.a2 t49.t2.t15))
% 10.57/11.07 (step t49.t2.t17 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t49.t2.t4 t49.t2.a4))
% 10.57/11.07 (step t49.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t49.t2.a5))
% 10.57/11.07 (step t49.t2.t19 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t49.t2.t18))
% 10.57/11.07 (step t49.t2.t20 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t49.t2.a6))
% 10.57/11.07 (step t49.t2.t21 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 10.57/11.07 (step t49.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule cong :premises (t49.t2.t20 t49.t2.t21))
% 10.57/11.07 (step t49.t2.t23 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule trans :premises (t49.t2.t19 t49.t2.t22))
% 10.57/11.07 (step t49.t2.t24 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t49.t2.a4))
% 10.57/11.07 (step t49.t2.t25 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule cong :premises (t49.t2.t23 t49.t2.t24))
% 10.57/11.07 (step t49.t2.t26 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t49.t2.a7))
% 10.57/11.07 (step t49.t2.t27 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule symm :premises (t49.t2.t26))
% 10.57/11.07 (step t49.t2.t28 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t49.t2.a8))
% 10.57/11.07 (step t49.t2.t29 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t49.t2.t15 t49.t2.t28))
% 10.57/11.07 (step t49.t2.t30 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t49.t2.a4 t49.t2.t16 t49.t2.t17 t49.t2.t25 t49.t2.t27 t49.t2.t29))
% 10.57/11.07 (step t49.t2.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t49.t2.t14 t49.t2.t30))
% 10.57/11.07 (step t49.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t49.t2.t31))
% 10.57/11.07 (step t49.t2.t33 (cl (= (tptp.inverse tptp.sk_c2) tptp.identity)) :rule trans :premises (t49.t2.t3 t49.t2.a10 t49.t2.t7 t49.t2.t10 t49.t2.t13 t49.t2.a9 t49.t2.t32 t49.t2.t11))
% 10.57/11.07 (step t49.t2.t34 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c2)))) :rule cong :premises (t49.t2.t33 t49.t2.a1))
% 10.57/11.07 (step t49.t2.t35 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t49.t2.a1))
% 10.57/11.07 (step t49.t2.t36 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c2)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c2))) :rule cong :premises (t49.t2.a2 t49.t2.t35))
% 10.57/11.07 (step t49.t2.t37 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 10.57/11.07 (step t49.t2.t38 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t49.t2.t4 t49.t2.t37))
% 10.57/11.07 (step t49.t2.t39 (cl (= tptp.identity tptp.sk_c2)) :rule trans :premises (t49.t2.t2 t49.t2.t34 t49.t2.t36 t49.t2.t38 t49.t2.t35))
% 10.57/11.07 (step t49.t2.t40 (cl (= tptp.sk_c2 tptp.identity)) :rule symm :premises (t49.t2.t39))
% 10.57/11.07 (step t49.t2.t41 (cl (= (tptp.inverse tptp.sk_c2) (tptp.inverse tptp.identity))) :rule cong :premises (t49.t2.t40))
% 10.57/11.07 (step t49.t2.t42 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t49.t2.a9))
% 10.57/11.07 (step t49.t2.t43 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t49.t2.a3 t49.t2.t31 t49.t2.t42 t49.t2.t12 t49.t2.t9 t49.t2.t6 t49.t2.t8))
% 10.57/11.07 (step t49.t2.t44 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule cong :premises (t49.t2.t39 t49.t2.t43))
% 10.57/11.07 (step t49.t2.t45 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t49.t2.a0))
% 10.57/11.07 (step t49.t2.t46 (cl (= tptp.identity tptp.sk_c5)) :rule trans :premises (t49.t2.a2 t49.t2.t44 t49.t2.t45))
% 10.57/11.07 (step t49.t2.t47 (cl (= (tptp.inverse tptp.identity) (tptp.inverse tptp.sk_c5))) :rule cong :premises (t49.t2.t46))
% 10.57/11.07 (step t49.t2.t48 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule trans :premises (t49.t2.a11 t49.t2.t41 t49.t2.t47))
% 10.57/11.07 (step t49.t2 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule subproof :discharge (t49.t2.a0 t49.t2.a1 t49.t2.a2 t49.t2.a3 t49.t2.a4 t49.t2.a5 t49.t2.a6 t49.t2.a7 t49.t2.a8 t49.t2.a9 t49.t2.a10 t49.t2.a11 t49.t2.a12))
% 10.57/11.07 (step t49.t3 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule and_pos)
% 10.57/11.07 (step t49.t4 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 10.57/11.07 (step t49.t5 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.57/11.07 (step t49.t6 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t49.t7 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t49.t8 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 10.57/11.07 (step t49.t9 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.57/11.07 (step t49.t10 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.57/11.07 (step t49.t11 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t49.t12 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.57/11.07 (step t49.t13 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.57/11.07 (step t49.t14 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.57/11.07 (step t49.t15 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 10.57/11.07 (step t49.t16 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule resolution :premises (t49.t2 t49.t3 t49.t4 t49.t5 t49.t6 t49.t7 t49.t8 t49.t9 t49.t10 t49.t11 t49.t12 t49.t13 t49.t14 t49.t15))
% 10.57/11.07 (step t49.t17 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule reordering :premises (t49.t16))
% 10.57/11.07 (step t49.t18 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule contraction :premises (t49.t17))
% 10.57/11.07 (step t49.t19 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule resolution :premises (t49.t1 t49.t18))
% 10.57/11.07 (step t49.t20 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))) :rule implies_neg2)
% 10.57/11.07 (step t49.t21 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))) :rule resolution :premises (t49.t19 t49.t20))
% 10.57/11.07 (step t49.t22 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))) :rule contraction :premises (t49.t21))
% 10.57/11.07 (step t49.t23 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule implies :premises (t49.t22))
% 10.57/11.07 (step t49.t24 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule and_neg)
% 10.57/11.07 (step t49.t25 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule resolution :premises (t49.t24 t49.a2 t49.a9 t49.a4 t49.a7 t49.a6 t49.a5 t49.a1 t49.a11 t49.a0 t49.a12 t49.a8 t49.a3 t49.a10))
% 10.57/11.07 (step t49.t26 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule resolution :premises (t49.t23 t49.t25))
% 10.57/11.07 (step t49 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule subproof :discharge (t49.a0 t49.a1 t49.a2 t49.a3 t49.a4 t49.a5 t49.a6 t49.a7 t49.a8 t49.a9 t49.a10 t49.a11 t49.a12))
% 10.57/11.07 (step t50 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t51 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.57/11.07 (step t52 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule and_pos)
% 10.57/11.07 (step t53 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.57/11.07 (step t54 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.57/11.07 (step t55 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 10.57/11.07 (step t56 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t57 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t58 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.57/11.07 (step t59 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 10.57/11.07 (step t60 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 10.57/11.07 (step t61 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.57/11.07 (step t62 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.57/11.07 (step t63 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t49 t50 t51 t52 t53 t54 t55 t56 t57 t58 t59 t60 t61 t62))
% 10.57/11.07 (step t64 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule reordering :premises (t63))
% 10.57/11.07 (step t65 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule contraction :premises (t64))
% 10.57/11.07 (step t66 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule resolution :premises (t48 t65))
% 10.57/11.07 (step t67 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))) :rule implies_neg2)
% 10.57/11.07 (step t68 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))) :rule resolution :premises (t66 t67))
% 10.57/11.07 (step t69 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))) :rule contraction :premises (t68))
% 10.57/11.07 (step t70 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule implies :premises (t69))
% 10.57/11.07 (step t71 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule resolution :premises (t47 t70))
% 10.57/11.07 (step t72 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule reordering :premises (t71))
% 10.57/11.07 (step t73 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t74)
% 10.57/11.07 (assume t74.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.57/11.07 (step t74.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c7)) (:= Y tptp.sk_c7) (:= Z tptp.sk_c6)))
% 10.57/11.07 (step t74.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule or :premises (t74.t1))
% 10.57/11.07 (step t74.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t74.t2 t74.a0))
% 10.57/11.07 (step t74 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule subproof :discharge (t74.a0))
% 10.57/11.07 (step t75 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t73 t74))
% 10.57/11.07 (step t76 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg2)
% 10.57/11.07 (step t77 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule resolution :premises (t75 t76))
% 10.57/11.07 (step t78 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule contraction :premises (t77))
% 10.57/11.07 (step t79 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule implies :premises (t78))
% 10.57/11.07 (step t80 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t79 a2))
% 10.57/11.07 (step t81 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t82)
% 10.57/11.07 (assume t82.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.57/11.07 (step t82.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule forall_inst :args ((:= X tptp.sk_c7) (:= Y tptp.sk_c1) (:= Z tptp.sk_c7)))
% 10.57/11.07 (step t82.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule or :premises (t82.t1))
% 10.57/11.07 (step t82.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule resolution :premises (t82.t2 t82.a0))
% 10.57/11.07 (step t82 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule subproof :discharge (t82.a0))
% 10.57/11.07 (step t83 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule resolution :premises (t81 t82))
% 10.57/11.07 (step t84 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule implies_neg2)
% 10.57/11.07 (step t85 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule resolution :premises (t83 t84))
% 10.57/11.07 (step t86 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule contraction :premises (t85))
% 10.57/11.07 (step t87 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule implies :premises (t86))
% 10.57/11.07 (step t88 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule resolution :premises (t87 a2))
% 10.57/11.07 (step t89 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t90)
% 10.57/11.07 (assume t90.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 10.57/11.07 (step t90.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule forall_inst :args ((:= X tptp.sk_c2)))
% 10.57/11.07 (step t90.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule or :premises (t90.t1))
% 10.57/11.07 (step t90.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t90.t2 t90.a0))
% 10.57/11.07 (step t90 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule subproof :discharge (t90.a0))
% 10.57/11.07 (step t91 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t89 t90))
% 10.57/11.07 (step t92 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule implies_neg2)
% 10.57/11.07 (step t93 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule resolution :premises (t91 t92))
% 10.57/11.07 (step t94 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule contraction :premises (t93))
% 10.57/11.07 (step t95 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule implies :premises (t94))
% 10.57/11.07 (step t96 (cl (not (= (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (not (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule equiv_pos2)
% 10.57/11.07 (anchor :step t97 :args ((X $$unsorted) (:= X X)))
% 10.57/11.07 (step t97.t1 (cl (= X X)) :rule refl)
% 10.57/11.07 (step t97.t2 (cl (= (= (tptp.multiply (tptp.inverse X) X) tptp.identity) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule all_simplify)
% 10.57/11.07 (step t97 (cl (= (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) :rule bind)
% 10.57/11.07 (step t98 (cl (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule resolution :premises (t96 t97 a1))
% 10.57/11.07 (step t99 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t95 t98))
% 10.57/11.07 (step t100 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t101)
% 10.57/11.07 (assume t101.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 10.57/11.07 (step t101.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule forall_inst :args ((:= X tptp.sk_c2)))
% 10.57/11.07 (step t101.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule or :premises (t101.t1))
% 10.57/11.07 (step t101.t3 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule resolution :premises (t101.t2 t101.a0))
% 10.57/11.07 (step t101 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule subproof :discharge (t101.a0))
% 10.57/11.07 (step t102 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule resolution :premises (t100 t101))
% 10.57/11.07 (step t103 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule implies_neg2)
% 10.57/11.07 (step t104 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule resolution :premises (t102 t103))
% 10.57/11.07 (step t105 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule contraction :premises (t104))
% 10.57/11.07 (step t106 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule implies :premises (t105))
% 10.57/11.07 (step t107 (cl (not (= (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (not (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule equiv_pos2)
% 10.57/11.07 (anchor :step t108 :args ((X $$unsorted) (:= X X)))
% 10.57/11.07 (step t108.t1 (cl (= X X)) :rule refl)
% 10.57/11.07 (step t108.t2 (cl (= (= (tptp.multiply tptp.identity X) X) (= X (tptp.multiply tptp.identity X)))) :rule all_simplify)
% 10.57/11.07 (step t108 (cl (= (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) :rule bind)
% 10.57/11.07 (step t109 (cl (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule resolution :premises (t107 t108 a0))
% 10.57/11.07 (step t110 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule resolution :premises (t106 t109))
% 10.57/11.07 (step t111 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t112)
% 10.57/11.07 (assume t112.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 10.57/11.07 (step t112.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule forall_inst :args ((:= X tptp.sk_c6)))
% 10.57/11.07 (step t112.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule or :premises (t112.t1))
% 10.57/11.07 (step t112.t3 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t112.t2 t112.a0))
% 10.57/11.07 (step t112 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule subproof :discharge (t112.a0))
% 10.57/11.07 (step t113 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t111 t112))
% 10.57/11.07 (step t114 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg2)
% 10.57/11.07 (step t115 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t113 t114))
% 10.57/11.07 (step t116 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule contraction :premises (t115))
% 10.57/11.07 (step t117 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule implies :premises (t116))
% 10.57/11.07 (step t118 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t117 t109))
% 10.57/11.07 (step t119 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t120)
% 10.57/11.07 (assume t120.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 10.57/11.07 (step t120.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule forall_inst :args ((:= X tptp.sk_c7)))
% 10.57/11.07 (step t120.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule or :premises (t120.t1))
% 10.57/11.07 (step t120.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule resolution :premises (t120.t2 t120.a0))
% 10.57/11.07 (step t120 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule subproof :discharge (t120.a0))
% 10.57/11.07 (step t121 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule resolution :premises (t119 t120))
% 10.57/11.07 (step t122 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule implies_neg2)
% 10.57/11.07 (step t123 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule resolution :premises (t121 t122))
% 10.57/11.07 (step t124 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule contraction :premises (t123))
% 10.57/11.07 (step t125 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule implies :premises (t124))
% 10.57/11.07 (step t126 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule resolution :premises (t125 t98))
% 10.57/11.07 (step t127 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t128)
% 10.57/11.07 (assume t128.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 10.57/11.07 (step t128.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule forall_inst :args ((:= X tptp.sk_c7)))
% 10.57/11.07 (step t128.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule or :premises (t128.t1))
% 10.57/11.07 (step t128.t3 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule resolution :premises (t128.t2 t128.a0))
% 10.57/11.07 (step t128 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule subproof :discharge (t128.a0))
% 10.57/11.07 (step t129 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule resolution :premises (t127 t128))
% 10.57/11.07 (step t130 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule implies_neg2)
% 10.57/11.07 (step t131 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t129 t130))
% 10.57/11.07 (step t132 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule contraction :premises (t131))
% 10.57/11.07 (step t133 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule implies :premises (t132))
% 10.57/11.07 (step t134 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule resolution :premises (t133 t109))
% 10.57/11.07 (step t135 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t136)
% 10.57/11.07 (assume t136.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 10.57/11.07 (step t136.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule forall_inst :args ((:= X tptp.sk_c1)))
% 10.57/11.07 (step t136.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule or :premises (t136.t1))
% 10.57/11.07 (step t136.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t136.t2 t136.a0))
% 10.57/11.07 (step t136 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule subproof :discharge (t136.a0))
% 10.57/11.07 (step t137 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t135 t136))
% 10.57/11.07 (step t138 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule implies_neg2)
% 10.57/11.07 (step t139 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule resolution :premises (t137 t138))
% 10.57/11.07 (step t140 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule contraction :premises (t139))
% 10.57/11.07 (step t141 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule implies :premises (t140))
% 10.57/11.07 (step t142 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t141 t98))
% 10.57/11.07 (step t143 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t144)
% 10.57/11.07 (assume t144.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 10.57/11.07 (step t144.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule forall_inst :args ((:= X tptp.identity)))
% 10.57/11.07 (step t144.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule or :premises (t144.t1))
% 10.57/11.07 (step t144.t3 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t144.t2 t144.a0))
% 10.57/11.07 (step t144 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule subproof :discharge (t144.a0))
% 10.57/11.07 (step t145 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t143 t144))
% 10.57/11.07 (step t146 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule implies_neg2)
% 10.57/11.07 (step t147 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule resolution :premises (t145 t146))
% 10.57/11.07 (step t148 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule contraction :premises (t147))
% 10.57/11.07 (step t149 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule implies :premises (t148))
% 10.57/11.07 (step t150 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t149 t109))
% 10.57/11.07 (step t151 (cl (not (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))))) (not (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.inverse tptp.sk_c5) tptp.sk_c6))) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))) :rule equiv_pos2)
% 10.57/11.07 (step t152 (cl (= (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))) :rule all_simplify)
% 10.57/11.07 (step t153 (cl (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))))) :rule cong :premises (t152 t43))
% 10.57/11.07 (step t154 (cl (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))) :rule resolution :premises (t151 t153 a14))
% 10.57/11.07 (step t155 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule or :premises (t154))
% 10.57/11.07 (step t156 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule reordering :premises (t155))
% 10.57/11.07 (step t157 (cl (not (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))))) (not (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.inverse tptp.sk_c5) tptp.sk_c6))) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))) :rule equiv_pos2)
% 10.57/11.07 (step t158 (cl (= (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule all_simplify)
% 10.57/11.07 (step t159 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))))) :rule cong :premises (t158 t43))
% 10.57/11.07 (step t160 (cl (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))) :rule resolution :premises (t157 t159 a11))
% 10.57/11.07 (step t161 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule or :premises (t160))
% 10.57/11.07 (step t162 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule reordering :premises (t161))
% 10.57/11.07 (step t163 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule resolution :premises (t72 t80 t88 t99 t110 t118 t126 t134 t142 t150 t156 t162))
% 10.57/11.07 (step t164 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t163))
% 10.57/11.07 (step t165 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule and_neg)
% 10.57/11.07 (step t166 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t167)
% 10.57/11.07 (assume t167.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.57/11.07 (assume t167.a1 (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))
% 10.57/11.07 (assume t167.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.57/11.07 (assume t167.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.57/11.07 (assume t167.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.57/11.07 (assume t167.a5 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.57/11.07 (assume t167.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.57/11.07 (assume t167.a7 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.57/11.07 (assume t167.a8 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.57/11.07 (assume t167.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 10.57/11.07 (assume t167.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.57/11.07 (assume t167.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.57/11.07 (step t167.t1 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t167.t2)
% 10.57/11.07 (assume t167.t2.a0 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 10.57/11.07 (assume t167.t2.a1 (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))
% 10.57/11.07 (assume t167.t2.a2 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.57/11.07 (assume t167.t2.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.57/11.07 (assume t167.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.57/11.07 (assume t167.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.57/11.07 (assume t167.t2.a6 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.57/11.07 (assume t167.t2.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.57/11.07 (assume t167.t2.a8 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.57/11.07 (assume t167.t2.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.57/11.07 (assume t167.t2.a10 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.57/11.07 (assume t167.t2.a11 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.57/11.07 (step t167.t2.t1 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t167.t2.a1))
% 10.57/11.07 (step t167.t2.t2 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule symm :premises (t167.t2.t1))
% 10.57/11.07 (step t167.t2.t3 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 10.57/11.07 (step t167.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule cong :premises (t167.t2.a3 t167.t2.t3))
% 10.57/11.07 (step t167.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t167.t2.a3))
% 10.57/11.07 (step t167.t2.t6 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t167.t2.t5 t167.t2.a11))
% 10.57/11.07 (step t167.t2.t7 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 10.57/11.07 (step t167.t2.t8 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.57/11.07 (step t167.t2.t9 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t167.t2.a3 t167.t2.t8))
% 10.57/11.07 (step t167.t2.t10 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t167.t2.t5 t167.t2.a10))
% 10.57/11.07 (step t167.t2.t11 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t167.t2.a9))
% 10.57/11.07 (step t167.t2.t12 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t167.t2.t11))
% 10.57/11.07 (step t167.t2.t13 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t167.t2.a8))
% 10.57/11.07 (step t167.t2.t14 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 10.57/11.07 (step t167.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule cong :premises (t167.t2.t13 t167.t2.t14))
% 10.57/11.07 (step t167.t2.t16 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule trans :premises (t167.t2.t12 t167.t2.t15))
% 10.57/11.07 (step t167.t2.t17 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t167.t2.a10))
% 10.57/11.07 (step t167.t2.t18 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule cong :premises (t167.t2.t16 t167.t2.t17))
% 10.57/11.07 (step t167.t2.t19 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t167.t2.a7))
% 10.57/11.07 (step t167.t2.t20 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule symm :premises (t167.t2.t19))
% 10.57/11.07 (step t167.t2.t21 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t167.t2.a6))
% 10.57/11.07 (step t167.t2.t22 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t167.t2.t8 t167.t2.t21))
% 10.57/11.07 (step t167.t2.t23 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t167.t2.a10 t167.t2.t9 t167.t2.t10 t167.t2.t18 t167.t2.t20 t167.t2.t22))
% 10.57/11.07 (step t167.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t167.t2.t7 t167.t2.t23))
% 10.57/11.07 (step t167.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t167.t2.a5))
% 10.57/11.07 (step t167.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t167.t2.a4))
% 10.57/11.07 (step t167.t2.t27 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t167.t2.t26 t167.t2.a2))
% 10.57/11.07 (step t167.t2.t28 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t167.t2.a2))
% 10.57/11.07 (step t167.t2.t29 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t167.t2.a3 t167.t2.t28))
% 10.57/11.07 (step t167.t2.t30 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.57/11.07 (step t167.t2.t31 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t167.t2.t5 t167.t2.t30))
% 10.57/11.07 (step t167.t2.t32 (cl (= tptp.identity (tptp.inverse tptp.sk_c5))) :rule trans :premises (t167.t2.a4 t167.t2.t24 t167.t2.t25 t167.t2.t27 t167.t2.t29 t167.t2.t31 t167.t2.t28 t167.t2.t2))
% 10.57/11.07 (step t167.t2.t33 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t167.t2.a11))
% 10.57/11.07 (step t167.t2.t34 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule cong :premises (t167.t2.t32 t167.t2.t33))
% 10.57/11.07 (step t167.t2.t35 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t167.t2.a0))
% 10.57/11.07 (step t167.t2.t36 (cl (= tptp.sk_c5 tptp.identity)) :rule trans :premises (t167.t2.a11 t167.t2.t4 t167.t2.t6 t167.t2.t34 t167.t2.t35))
% 10.57/11.07 (step t167.t2.t37 (cl (= (tptp.inverse tptp.sk_c5) (tptp.inverse tptp.identity))) :rule cong :premises (t167.t2.t36))
% 10.57/11.07 (step t167.t2.t38 (cl (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule trans :premises (t167.t2.t2 t167.t2.t37))
% 10.57/11.07 (step t167.t2 (cl (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule subproof :discharge (t167.t2.a0 t167.t2.a1 t167.t2.a2 t167.t2.a3 t167.t2.a4 t167.t2.a5 t167.t2.a6 t167.t2.a7 t167.t2.a8 t167.t2.a9 t167.t2.a10 t167.t2.a11))
% 10.57/11.07 (step t167.t3 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t167.t4 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t167.t5 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.57/11.07 (step t167.t6 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.57/11.07 (step t167.t7 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t167.t8 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.57/11.07 (step t167.t9 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t167.t10 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.57/11.07 (step t167.t11 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.57/11.07 (step t167.t12 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 10.57/11.07 (step t167.t13 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t167.t14 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t167.t15 (cl (= tptp.sk_c6 (tptp.inverse tptp.identity)) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))))) :rule resolution :premises (t167.t2 t167.t3 t167.t4 t167.t5 t167.t6 t167.t7 t167.t8 t167.t9 t167.t10 t167.t11 t167.t12 t167.t13 t167.t14))
% 10.57/11.07 (step t167.t16 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule reordering :premises (t167.t15))
% 10.57/11.07 (step t167.t17 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule contraction :premises (t167.t16))
% 10.57/11.07 (step t167.t18 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule resolution :premises (t167.t1 t167.t17))
% 10.57/11.07 (step t167.t19 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule implies_neg2)
% 10.57/11.07 (step t167.t20 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule resolution :premises (t167.t18 t167.t19))
% 10.57/11.07 (step t167.t21 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule contraction :premises (t167.t20))
% 10.57/11.07 (step t167.t22 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule implies :premises (t167.t21))
% 10.57/11.07 (step t167.t23 (cl (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_neg)
% 10.57/11.07 (step t167.t24 (cl (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule resolution :premises (t167.t23 t167.a9 t167.a1 t167.a7 t167.a3 t167.a6 t167.a11 t167.a0 t167.a10 t167.a2 t167.a4 t167.a5 t167.a8))
% 10.57/11.07 (step t167.t25 (cl (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule resolution :premises (t167.t22 t167.t24))
% 10.57/11.07 (step t167 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule subproof :discharge (t167.a0 t167.a1 t167.a2 t167.a3 t167.a4 t167.a5 t167.a6 t167.a7 t167.a8 t167.a9 t167.a10 t167.a11))
% 10.57/11.07 (step t168 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t169 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t170 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.57/11.07 (step t171 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.57/11.07 (step t172 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 10.57/11.07 (step t173 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t174 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t175 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.57/11.07 (step t176 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t177 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t178 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.57/11.07 (step t179 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.57/11.07 (step t180 (cl (= tptp.sk_c6 (tptp.inverse tptp.identity)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t167 t168 t169 t170 t171 t172 t173 t174 t175 t176 t177 t178 t179))
% 10.57/11.07 (step t181 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule reordering :premises (t180))
% 10.57/11.07 (step t182 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule contraction :premises (t181))
% 10.57/11.07 (step t183 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule resolution :premises (t166 t182))
% 10.57/11.07 (step t184 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule implies_neg2)
% 10.57/11.07 (step t185 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule resolution :premises (t183 t184))
% 10.57/11.07 (step t186 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule contraction :premises (t185))
% 10.57/11.07 (step t187 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule implies :premises (t186))
% 10.57/11.07 (step t188 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule resolution :premises (t165 t187))
% 10.57/11.07 (step t189 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule reordering :premises (t188))
% 10.57/11.07 (step t190 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t191)
% 10.57/11.07 (assume t191.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 10.57/11.07 (step t191.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule forall_inst :args ((:= X tptp.sk_c5)))
% 10.57/11.07 (step t191.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule or :premises (t191.t1))
% 10.57/11.07 (step t191.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule resolution :premises (t191.t2 t191.a0))
% 10.57/11.07 (step t191 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule subproof :discharge (t191.a0))
% 10.57/11.07 (step t192 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule resolution :premises (t190 t191))
% 10.57/11.07 (step t193 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule implies_neg2)
% 10.57/11.07 (step t194 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule resolution :premises (t192 t193))
% 10.57/11.07 (step t195 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule contraction :premises (t194))
% 10.57/11.07 (step t196 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule implies :premises (t195))
% 10.57/11.07 (step t197 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule resolution :premises (t196 t98))
% 10.57/11.07 (step t198 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t199)
% 10.57/11.07 (assume t199.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 10.57/11.07 (step t199.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule forall_inst :args ((:= X tptp.sk_c5)))
% 10.57/11.07 (step t199.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule or :premises (t199.t1))
% 10.57/11.07 (step t199.t3 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t199.t2 t199.a0))
% 10.57/11.07 (step t199 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule subproof :discharge (t199.a0))
% 10.57/11.07 (step t200 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t198 t199))
% 10.57/11.07 (step t201 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule implies_neg2)
% 10.57/11.07 (step t202 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule resolution :premises (t200 t201))
% 10.57/11.07 (step t203 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule contraction :premises (t202))
% 10.57/11.07 (step t204 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule implies :premises (t203))
% 10.57/11.07 (step t205 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t204 t109))
% 10.57/11.07 (step t206 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t207)
% 10.57/11.07 (assume t207.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.57/11.07 (assume t207.a1 (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))
% 10.57/11.07 (assume t207.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.57/11.07 (assume t207.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.57/11.07 (assume t207.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.57/11.07 (assume t207.a5 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.57/11.07 (assume t207.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.57/11.07 (assume t207.a7 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.57/11.07 (assume t207.a8 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.57/11.07 (assume t207.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 10.57/11.07 (assume t207.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.57/11.07 (assume t207.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.57/11.07 (step t207.t1 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t207.t2)
% 10.57/11.07 (assume t207.t2.a0 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.57/11.07 (assume t207.t2.a1 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.57/11.07 (assume t207.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.57/11.07 (assume t207.t2.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.57/11.07 (assume t207.t2.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.57/11.07 (assume t207.t2.a5 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.57/11.07 (assume t207.t2.a6 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.57/11.07 (assume t207.t2.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.57/11.07 (assume t207.t2.a8 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.57/11.07 (assume t207.t2.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 10.57/11.07 (assume t207.t2.a10 (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))
% 10.57/11.07 (assume t207.t2.a11 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.57/11.07 (step t207.t2.t1 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 10.57/11.07 (step t207.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule cong :premises (t207.t2.a0 t207.t2.t1))
% 10.57/11.07 (step t207.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t207.t2.a0))
% 10.57/11.07 (step t207.t2.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t207.t2.t3 t207.t2.a11))
% 10.57/11.07 (step t207.t2.t5 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 10.57/11.07 (step t207.t2.t6 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.57/11.07 (step t207.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t207.t2.a0 t207.t2.t6))
% 10.57/11.07 (step t207.t2.t8 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t207.t2.t3 t207.t2.a8))
% 10.57/11.07 (step t207.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t207.t2.a7))
% 10.57/11.07 (step t207.t2.t10 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t207.t2.t9))
% 10.57/11.07 (step t207.t2.t11 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t207.t2.a6))
% 10.57/11.07 (step t207.t2.t12 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 10.57/11.07 (step t207.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule cong :premises (t207.t2.t11 t207.t2.t12))
% 10.57/11.07 (step t207.t2.t14 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule trans :premises (t207.t2.t10 t207.t2.t13))
% 10.57/11.07 (step t207.t2.t15 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t207.t2.a8))
% 10.57/11.07 (step t207.t2.t16 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule cong :premises (t207.t2.t14 t207.t2.t15))
% 10.57/11.07 (step t207.t2.t17 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t207.t2.a5))
% 10.57/11.07 (step t207.t2.t18 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule symm :premises (t207.t2.t17))
% 10.57/11.07 (step t207.t2.t19 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t207.t2.a4))
% 10.57/11.07 (step t207.t2.t20 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t207.t2.t6 t207.t2.t19))
% 10.57/11.07 (step t207.t2.t21 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t207.t2.a8 t207.t2.t7 t207.t2.t8 t207.t2.t16 t207.t2.t18 t207.t2.t20))
% 10.57/11.07 (step t207.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t207.t2.t5 t207.t2.t21))
% 10.57/11.07 (step t207.t2.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t207.t2.a3))
% 10.57/11.07 (step t207.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t207.t2.a2))
% 10.57/11.07 (step t207.t2.t25 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t207.t2.t24 t207.t2.a1))
% 10.57/11.07 (step t207.t2.t26 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t207.t2.a1))
% 10.57/11.07 (step t207.t2.t27 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t207.t2.a0 t207.t2.t26))
% 10.57/11.07 (step t207.t2.t28 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.57/11.07 (step t207.t2.t29 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t207.t2.t3 t207.t2.t28))
% 10.57/11.07 (step t207.t2.t30 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t207.t2.a10))
% 10.57/11.07 (step t207.t2.t31 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule symm :premises (t207.t2.t30))
% 10.57/11.07 (step t207.t2.t32 (cl (= tptp.identity (tptp.inverse tptp.sk_c5))) :rule trans :premises (t207.t2.a2 t207.t2.t22 t207.t2.t23 t207.t2.t25 t207.t2.t27 t207.t2.t29 t207.t2.t26 t207.t2.t31))
% 10.57/11.07 (step t207.t2.t33 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t207.t2.a11))
% 10.57/11.07 (step t207.t2.t34 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule cong :premises (t207.t2.t32 t207.t2.t33))
% 10.57/11.07 (step t207.t2.t35 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t207.t2.a9))
% 10.57/11.07 (step t207.t2.t36 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule trans :premises (t207.t2.a11 t207.t2.t2 t207.t2.t4 t207.t2.t34 t207.t2.t35 t207.t2.a2 t207.t2.t22 t207.t2.t23 t207.t2.t25 t207.t2.t27 t207.t2.t29))
% 10.57/11.07 (step t207.t2 (cl (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule subproof :discharge (t207.t2.a0 t207.t2.a1 t207.t2.a2 t207.t2.a3 t207.t2.a4 t207.t2.a5 t207.t2.a6 t207.t2.a7 t207.t2.a8 t207.t2.a9 t207.t2.a10 t207.t2.a11))
% 10.57/11.07 (step t207.t3 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.57/11.07 (step t207.t4 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.57/11.07 (step t207.t5 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t207.t6 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.57/11.07 (step t207.t7 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t207.t8 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.57/11.07 (step t207.t9 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.57/11.07 (step t207.t10 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 10.57/11.07 (step t207.t11 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t207.t12 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t207.t13 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t207.t14 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t207.t15 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6)) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))))) :rule resolution :premises (t207.t2 t207.t3 t207.t4 t207.t5 t207.t6 t207.t7 t207.t8 t207.t9 t207.t10 t207.t11 t207.t12 t207.t13 t207.t14))
% 10.57/11.07 (step t207.t16 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule reordering :premises (t207.t15))
% 10.57/11.07 (step t207.t17 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule contraction :premises (t207.t16))
% 10.57/11.07 (step t207.t18 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t207.t1 t207.t17))
% 10.57/11.07 (step t207.t19 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg2)
% 10.57/11.07 (step t207.t20 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t207.t18 t207.t19))
% 10.57/11.07 (step t207.t21 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule contraction :premises (t207.t20))
% 10.57/11.07 (step t207.t22 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule implies :premises (t207.t21))
% 10.57/11.07 (step t207.t23 (cl (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_neg)
% 10.57/11.07 (step t207.t24 (cl (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule resolution :premises (t207.t23 t207.a3 t207.a7 t207.a6 t207.a11 t207.a0 t207.a10 t207.a2 t207.a4 t207.a5 t207.a9 t207.a1 t207.a8))
% 10.57/11.07 (step t207.t25 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t207.t22 t207.t24))
% 10.57/11.07 (step t207 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule subproof :discharge (t207.a0 t207.a1 t207.a2 t207.a3 t207.a4 t207.a5 t207.a6 t207.a7 t207.a8 t207.a9 t207.a10 t207.a11))
% 10.57/11.07 (step t208 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t209 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t210 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.57/11.07 (step t211 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.57/11.07 (step t212 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 10.57/11.07 (step t213 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t214 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t215 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.57/11.07 (step t216 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t217 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t218 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.57/11.07 (step t219 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.57/11.07 (step t220 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t207 t208 t209 t210 t211 t212 t213 t214 t215 t216 t217 t218 t219))
% 10.57/11.07 (step t221 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule reordering :premises (t220))
% 10.57/11.07 (step t222 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule contraction :premises (t221))
% 10.57/11.07 (step t223 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t206 t222))
% 10.57/11.07 (step t224 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg2)
% 10.57/11.07 (step t225 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t223 t224))
% 10.57/11.07 (step t226 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule contraction :premises (t225))
% 10.57/11.07 (step t227 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule implies :premises (t226))
% 10.57/11.07 (step t228 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t165 t227))
% 10.57/11.07 (step t229 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule reordering :premises (t228))
% 10.57/11.07 (step t230 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1)))))) :rule or :premises (t5))
% 10.57/11.07 (step t231 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5)))))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t232)
% 10.57/11.07 (assume t232.a0 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))))))
% 10.57/11.07 (step t232.t1 (cl (or (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5)))))) :rule forall_inst :args ((:= X4 tptp.sk_c5)))
% 10.57/11.07 (step t232.t2 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))))) :rule or :premises (t232.t1))
% 10.57/11.07 (step t232.t3 (cl (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))))) :rule resolution :premises (t232.t2 t232.a0))
% 10.57/11.07 (step t232 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))))) :rule subproof :discharge (t232.a0))
% 10.57/11.07 (step t233 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))))) :rule resolution :premises (t231 t232))
% 10.57/11.07 (step t234 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))))) (not (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5)))))) :rule implies_neg2)
% 10.57/11.07 (step t235 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))))) (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5)))))) :rule resolution :premises (t233 t234))
% 10.57/11.07 (step t236 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5)))))) :rule contraction :premises (t235))
% 10.57/11.07 (step t237 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))))) :rule implies :premises (t236))
% 10.57/11.07 (step t238 (cl (not (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5)))) :rule or_pos)
% 10.57/11.07 (step t239 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) (not (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5)))))) :rule reordering :premises (t238))
% 10.57/11.07 (step t240 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t241)
% 10.57/11.07 (assume t241.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.57/11.07 (assume t241.a1 (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))
% 10.57/11.07 (assume t241.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.57/11.07 (assume t241.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.57/11.07 (assume t241.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.57/11.07 (assume t241.a5 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.57/11.07 (assume t241.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.57/11.07 (assume t241.a7 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.57/11.07 (assume t241.a8 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.57/11.07 (assume t241.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 10.57/11.07 (assume t241.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.57/11.07 (assume t241.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.57/11.07 (step t241.t1 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t241.t2)
% 10.57/11.07 (assume t241.t2.a0 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.57/11.07 (assume t241.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.57/11.07 (assume t241.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.57/11.07 (assume t241.t2.a3 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.57/11.07 (assume t241.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.57/11.07 (assume t241.t2.a5 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.57/11.07 (assume t241.t2.a6 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.57/11.07 (assume t241.t2.a7 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.57/11.07 (assume t241.t2.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.57/11.07 (assume t241.t2.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.57/11.07 (assume t241.t2.a10 (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))
% 10.57/11.07 (assume t241.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 10.57/11.07 (step t241.t2.t1 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.57/11.07 (step t241.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t241.t2.a1 t241.t2.t1))
% 10.57/11.07 (step t241.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t241.t2.a1))
% 10.57/11.07 (step t241.t2.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t241.t2.t3 t241.t2.a9))
% 10.57/11.07 (step t241.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t241.t2.a9))
% 10.57/11.07 (step t241.t2.t6 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule cong :premises (t241.t2.a2 t241.t2.t5))
% 10.57/11.07 (step t241.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t241.t2.a8))
% 10.57/11.07 (step t241.t2.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule symm :premises (t241.t2.t7))
% 10.57/11.07 (step t241.t2.t9 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 10.57/11.07 (step t241.t2.t10 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.57/11.07 (step t241.t2.t11 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t241.t2.a7))
% 10.57/11.07 (step t241.t2.t12 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t241.t2.t11))
% 10.57/11.07 (step t241.t2.t13 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule cong :premises (t241.t2.t10 t241.t2.t12))
% 10.57/11.07 (step t241.t2.t14 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t241.t2.a6))
% 10.57/11.07 (step t241.t2.t15 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule symm :premises (t241.t2.t14))
% 10.57/11.07 (step t241.t2.t16 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t241.t2.t15))
% 10.57/11.07 (step t241.t2.t17 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t241.t2.a5))
% 10.57/11.07 (step t241.t2.t18 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t241.t2.t17))
% 10.57/11.07 (step t241.t2.t19 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 10.57/11.07 (step t241.t2.t20 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule cong :premises (t241.t2.t18 t241.t2.t19))
% 10.57/11.07 (step t241.t2.t21 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t241.t2.a4))
% 10.57/11.07 (step t241.t2.t22 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t241.t2.t21))
% 10.57/11.07 (step t241.t2.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t241.t2.t22))
% 10.57/11.07 (step t241.t2.t24 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity)) :rule trans :premises (t241.t2.t20 t241.t2.t23))
% 10.57/11.07 (step t241.t2.t25 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t241.t2.t24 t241.t2.a3))
% 10.57/11.07 (step t241.t2.t26 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t241.t2.a3))
% 10.57/11.07 (step t241.t2.t27 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t241.t2.a1 t241.t2.t26))
% 10.57/11.07 (step t241.t2.t28 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t241.t2.t3 t241.t2.t10))
% 10.57/11.07 (step t241.t2.t29 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c7)) :rule trans :premises (t241.t2.t13 t241.t2.t16 t241.t2.t25 t241.t2.t27 t241.t2.t28 t241.t2.t26))
% 10.57/11.07 (step t241.t2.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t241.t2.t9 t241.t2.t29))
% 10.57/11.07 (step t241.t2.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t241.t2.a2))
% 10.57/11.07 (step t241.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t241.t2.a11))
% 10.57/11.07 (step t241.t2.t33 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule symm :premises (t241.t2.t32))
% 10.57/11.07 (step t241.t2.t34 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t241.t2.a10))
% 10.57/11.07 (step t241.t2.t35 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule symm :premises (t241.t2.t34))
% 10.57/11.07 (step t241.t2.t36 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t241.t2.t35))
% 10.57/11.07 (step t241.t2.t37 (cl (= (tptp.inverse tptp.sk_c5) tptp.identity)) :rule trans :premises (t241.t2.t36 t241.t2.a9 t241.t2.t2 t241.t2.t4 t241.t2.t6 t241.t2.t8 t241.t2.t30 t241.t2.t31))
% 10.57/11.07 (step t241.t2.t38 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t241.t2.t37 t241.t2.a0))
% 10.57/11.07 (step t241.t2.t39 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t241.t2.a0))
% 10.57/11.07 (step t241.t2.t40 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule cong :premises (t241.t2.a1 t241.t2.t39))
% 10.57/11.07 (step t241.t2.t41 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 10.57/11.07 (step t241.t2.t42 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t241.t2.t3 t241.t2.t41))
% 10.57/11.07 (step t241.t2.t43 (cl (= tptp.identity tptp.sk_c5)) :rule trans :premises (t241.t2.t33 t241.t2.t38 t241.t2.t40 t241.t2.t42 t241.t2.t39))
% 10.57/11.07 (step t241.t2.t44 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule cong :premises (t241.t2.t43 t241.t2.t43))
% 10.57/11.07 (step t241.t2.t45 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule trans :premises (t241.t2.a9 t241.t2.t2 t241.t2.t4 t241.t2.t6 t241.t2.t8 t241.t2.t30 t241.t2.t31 t241.t2.a1 t241.t2.t44))
% 10.57/11.07 (step t241.t2 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule subproof :discharge (t241.t2.a0 t241.t2.a1 t241.t2.a2 t241.t2.a3 t241.t2.a4 t241.t2.a5 t241.t2.a6 t241.t2.a7 t241.t2.a8 t241.t2.a9 t241.t2.a10 t241.t2.a11))
% 10.57/11.07 (step t241.t3 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t241.t4 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.57/11.07 (step t241.t5 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t241.t6 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t241.t7 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 10.57/11.07 (step t241.t8 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.57/11.07 (step t241.t9 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.57/11.07 (step t241.t10 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t241.t11 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.57/11.07 (step t241.t12 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.57/11.07 (step t241.t13 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t241.t14 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t241.t15 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))))) :rule resolution :premises (t241.t2 t241.t3 t241.t4 t241.t5 t241.t6 t241.t7 t241.t8 t241.t9 t241.t10 t241.t11 t241.t12 t241.t13 t241.t14))
% 10.57/11.07 (step t241.t16 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule reordering :premises (t241.t15))
% 10.57/11.07 (step t241.t17 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule contraction :premises (t241.t16))
% 10.57/11.07 (step t241.t18 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule resolution :premises (t241.t1 t241.t17))
% 10.57/11.07 (step t241.t19 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5)))) :rule implies_neg2)
% 10.57/11.07 (step t241.t20 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5)))) :rule resolution :premises (t241.t18 t241.t19))
% 10.57/11.07 (step t241.t21 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5)))) :rule contraction :premises (t241.t20))
% 10.57/11.07 (step t241.t22 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule implies :premises (t241.t21))
% 10.57/11.07 (step t241.t23 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule and_neg)
% 10.57/11.07 (step t241.t24 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule resolution :premises (t241.t23 t241.a8 t241.a3 t241.a6 t241.a5 t241.a4 t241.a2 t241.a10 t241.a0 t241.a11 t241.a7 t241.a1 t241.a9))
% 10.57/11.07 (step t241.t25 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule resolution :premises (t241.t22 t241.t24))
% 10.57/11.07 (step t241 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule subproof :discharge (t241.a0 t241.a1 t241.a2 t241.a3 t241.a4 t241.a5 t241.a6 t241.a7 t241.a8 t241.a9 t241.a10 t241.a11))
% 10.57/11.07 (step t242 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t243 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t244 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.57/11.07 (step t245 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.57/11.07 (step t246 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 10.57/11.07 (step t247 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t248 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t249 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.57/11.07 (step t250 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t251 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t252 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.57/11.07 (step t253 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.57/11.07 (step t254 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t241 t242 t243 t244 t245 t246 t247 t248 t249 t250 t251 t252 t253))
% 10.57/11.07 (step t255 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule reordering :premises (t254))
% 10.57/11.07 (step t256 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule contraction :premises (t255))
% 10.57/11.07 (step t257 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule resolution :premises (t240 t256))
% 10.57/11.07 (step t258 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5)))) :rule implies_neg2)
% 10.57/11.07 (step t259 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5)))) :rule resolution :premises (t257 t258))
% 10.57/11.07 (step t260 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5)))) :rule contraction :premises (t259))
% 10.57/11.07 (step t261 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule implies :premises (t260))
% 10.57/11.07 (step t262 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule resolution :premises (t165 t261))
% 10.57/11.07 (step t263 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule reordering :premises (t262))
% 10.57/11.07 (step t264 (cl (= (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))))) :rule hole :args ((forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))) (= X2 X1)))
% 10.57/11.07 (step t265 (cl (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))) (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))))) :rule equiv2 :premises (t264))
% 10.57/11.07 (step t266 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2)))))) :rule resolution :premises (t13 t15 t189 t80 t88 t197 t205 t118 t126 t134 t142 t150 t229 t80 t88 t197 t205 t118 t126 t134 t142 t150 t230 t237 t239 t263 t80 t88 t197 t205 t118 t126 t134 t142 t150 t265))
% 10.57/11.07 (step t267 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2)))))) :rule contraction :premises (t266))
% 10.57/11.07 (step t268 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2)))))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t269)
% 10.57/11.07 (assume t269.a0 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))))
% 10.57/11.07 (step t269.t1 (cl (or (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))))) :rule forall_inst :args ((:= X2 tptp.sk_c1)))
% 10.57/11.07 (step t269.t2 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) :rule or :premises (t269.t1))
% 10.57/11.07 (step t269.t3 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t269.t2 t269.a0))
% 10.57/11.07 (step t269 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) :rule subproof :discharge (t269.a0))
% 10.57/11.07 (step t270 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t268 t269))
% 10.57/11.07 (step t271 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))))) :rule implies_neg2)
% 10.57/11.07 (step t272 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t270 t271))
% 10.57/11.07 (step t273 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))))) :rule contraction :premises (t272))
% 10.57/11.07 (step t274 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) :rule implies :premises (t273))
% 10.57/11.07 (step t275 (cl (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule or_pos)
% 10.57/11.07 (step t276 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))))) :rule reordering :premises (t275))
% 10.57/11.07 (step t277 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t267 t274 t276))
% 10.57/11.07 (step t278 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t277))
% 10.57/11.07 (step t279 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t164 t278))
% 10.57/11.07 (step t280 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t279))
% 10.57/11.07 (step t281 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1)))))) :rule or :premises (t5))
% 10.57/11.07 (step t282 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t283)
% 10.57/11.07 (assume t283.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))
% 10.57/11.07 (assume t283.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))
% 10.57/11.07 (assume t283.a2 (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))
% 10.57/11.07 (assume t283.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.57/11.07 (assume t283.a4 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.57/11.07 (assume t283.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.57/11.07 (assume t283.a6 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.57/11.07 (assume t283.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 10.57/11.07 (assume t283.a8 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.57/11.07 (assume t283.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 10.57/11.07 (assume t283.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.57/11.07 (assume t283.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))
% 10.57/11.07 (step t283.t1 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t283.t2)
% 10.57/11.07 (assume t283.t2.a0 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.57/11.07 (assume t283.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.57/11.07 (assume t283.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.57/11.07 (assume t283.t2.a3 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.57/11.07 (assume t283.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 10.57/11.07 (assume t283.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))
% 10.57/11.07 (assume t283.t2.a6 (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))
% 10.57/11.07 (assume t283.t2.a7 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))
% 10.57/11.07 (assume t283.t2.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.57/11.07 (assume t283.t2.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.57/11.07 (assume t283.t2.a10 (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))
% 10.57/11.07 (assume t283.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 10.57/11.07 (step t283.t2.t1 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.57/11.07 (step t283.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t283.t2.a1 t283.t2.t1))
% 10.57/11.07 (step t283.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t283.t2.a1))
% 10.57/11.07 (step t283.t2.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t283.t2.t3 t283.t2.a9))
% 10.57/11.07 (step t283.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t283.t2.a9))
% 10.57/11.07 (step t283.t2.t6 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule cong :premises (t283.t2.a2 t283.t2.t5))
% 10.57/11.07 (step t283.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t283.t2.a8))
% 10.57/11.07 (step t283.t2.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule symm :premises (t283.t2.t7))
% 10.57/11.07 (step t283.t2.t9 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 10.57/11.07 (step t283.t2.t10 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c7)) :rule symm :premises (t283.t2.a6))
% 10.57/11.07 (step t283.t2.t11 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t283.t2.t10))
% 10.57/11.07 (step t283.t2.t12 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t283.t2.a7))
% 10.57/11.07 (step t283.t2.t13 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule symm :premises (t283.t2.t12))
% 10.57/11.07 (step t283.t2.t14 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule cong :premises (t283.t2.t11 t283.t2.t13))
% 10.57/11.07 (step t283.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7))) :rule symm :premises (t283.t2.a5))
% 10.57/11.07 (step t283.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t283.t2.a4))
% 10.57/11.07 (step t283.t2.t17 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t283.t2.t16 t283.t2.a3))
% 10.57/11.07 (step t283.t2.t18 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t283.t2.a3))
% 10.57/11.07 (step t283.t2.t19 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t283.t2.a1 t283.t2.t18))
% 10.57/11.07 (step t283.t2.t20 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.57/11.07 (step t283.t2.t21 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t283.t2.t3 t283.t2.t20))
% 10.57/11.07 (step t283.t2.t22 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c7)) :rule trans :premises (t283.t2.t14 t283.t2.t15 t283.t2.t17 t283.t2.t19 t283.t2.t21 t283.t2.t18))
% 10.57/11.07 (step t283.t2.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t283.t2.t9 t283.t2.t22))
% 10.57/11.07 (step t283.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t283.t2.a2))
% 10.57/11.07 (step t283.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t283.t2.a11))
% 10.57/11.07 (step t283.t2.t26 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule symm :premises (t283.t2.t25))
% 10.57/11.07 (step t283.t2.t27 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t283.t2.a10))
% 10.57/11.07 (step t283.t2.t28 (cl (= (tptp.inverse tptp.sk_c5) tptp.identity)) :rule trans :premises (t283.t2.t27 t283.t2.a9 t283.t2.t2 t283.t2.t4 t283.t2.t6 t283.t2.t8 t283.t2.t23 t283.t2.t24))
% 10.57/11.07 (step t283.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t283.t2.t28 t283.t2.a0))
% 10.57/11.07 (step t283.t2.t30 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t283.t2.a0))
% 10.57/11.07 (step t283.t2.t31 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule cong :premises (t283.t2.a1 t283.t2.t30))
% 10.57/11.07 (step t283.t2.t32 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 10.57/11.07 (step t283.t2.t33 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t283.t2.t3 t283.t2.t32))
% 10.57/11.07 (step t283.t2.t34 (cl (= tptp.identity tptp.sk_c5)) :rule trans :premises (t283.t2.t26 t283.t2.t29 t283.t2.t31 t283.t2.t33 t283.t2.t30))
% 10.57/11.07 (step t283.t2.t35 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule cong :premises (t283.t2.t34 t283.t2.t34))
% 10.57/11.07 (step t283.t2.t36 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule trans :premises (t283.t2.a9 t283.t2.t2 t283.t2.t4 t283.t2.t6 t283.t2.t8 t283.t2.t23 t283.t2.t24 t283.t2.a1 t283.t2.t35))
% 10.57/11.07 (step t283.t2 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule subproof :discharge (t283.t2.a0 t283.t2.a1 t283.t2.a2 t283.t2.a3 t283.t2.a4 t283.t2.a5 t283.t2.a6 t283.t2.a7 t283.t2.a8 t283.t2.a9 t283.t2.a10 t283.t2.a11))
% 10.57/11.07 (step t283.t3 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t283.t4 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.57/11.07 (step t283.t5 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t283.t6 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t283.t7 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 10.57/11.07 (step t283.t8 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule and_pos)
% 10.57/11.07 (step t283.t9 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.57/11.07 (step t283.t10 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t283.t11 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.57/11.07 (step t283.t12 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.57/11.07 (step t283.t13 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t283.t14 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t283.t15 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))))) :rule resolution :premises (t283.t2 t283.t3 t283.t4 t283.t5 t283.t6 t283.t7 t283.t8 t283.t9 t283.t10 t283.t11 t283.t12 t283.t13 t283.t14))
% 10.57/11.07 (step t283.t16 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule reordering :premises (t283.t15))
% 10.57/11.07 (step t283.t17 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule contraction :premises (t283.t16))
% 10.57/11.07 (step t283.t18 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule resolution :premises (t283.t1 t283.t17))
% 10.57/11.07 (step t283.t19 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5)))) :rule implies_neg2)
% 10.57/11.07 (step t283.t20 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5)))) :rule resolution :premises (t283.t18 t283.t19))
% 10.57/11.07 (step t283.t21 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5)))) :rule contraction :premises (t283.t20))
% 10.57/11.07 (step t283.t22 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule implies :premises (t283.t21))
% 10.57/11.07 (step t283.t23 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule and_neg)
% 10.57/11.07 (step t283.t24 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule resolution :premises (t283.t23 t283.a8 t283.a3 t283.a5 t283.a4 t283.a7 t283.a11 t283.a1 t283.a0 t283.a10 t283.a6 t283.a2 t283.a9))
% 10.57/11.07 (step t283.t25 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule resolution :premises (t283.t22 t283.t24))
% 10.57/11.07 (step t283 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule subproof :discharge (t283.a0 t283.a1 t283.a2 t283.a3 t283.a4 t283.a5 t283.a6 t283.a7 t283.a8 t283.a9 t283.a10 t283.a11))
% 10.57/11.07 (step t284 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t285 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.57/11.07 (step t286 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t287 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.57/11.07 (step t288 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t289 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t290 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.57/11.07 (step t291 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 10.57/11.07 (step t292 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t293 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t294 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.57/11.07 (step t295 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule and_pos)
% 10.57/11.07 (step t296 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))))) :rule resolution :premises (t283 t284 t285 t286 t287 t288 t289 t290 t291 t292 t293 t294 t295))
% 10.57/11.07 (step t297 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule reordering :premises (t296))
% 10.57/11.07 (step t298 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule contraction :premises (t297))
% 10.57/11.07 (step t299 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule resolution :premises (t282 t298))
% 10.57/11.07 (step t300 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5)))) :rule implies_neg2)
% 10.57/11.07 (step t301 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5)))) :rule resolution :premises (t299 t300))
% 10.57/11.07 (step t302 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5)))) :rule contraction :premises (t301))
% 10.57/11.07 (step t303 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule implies :premises (t302))
% 10.57/11.07 (step t304 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule resolution :premises (t16 t303))
% 10.57/11.07 (step t305 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5)) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) :rule reordering :premises (t304))
% 10.57/11.07 (step t306 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t307)
% 10.57/11.07 (assume t307.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.57/11.07 (step t307.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c4)) (:= Y tptp.sk_c4) (:= Z tptp.sk_c7)))
% 10.57/11.07 (step t307.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule or :premises (t307.t1))
% 10.57/11.07 (step t307.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule resolution :premises (t307.t2 t307.a0))
% 10.57/11.07 (step t307 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule subproof :discharge (t307.a0))
% 10.57/11.07 (step t308 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule resolution :premises (t306 t307))
% 10.57/11.07 (step t309 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) :rule implies_neg2)
% 10.57/11.07 (step t310 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) :rule resolution :premises (t308 t309))
% 10.57/11.07 (step t311 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) :rule contraction :premises (t310))
% 10.57/11.07 (step t312 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule implies :premises (t311))
% 10.57/11.07 (step t313 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule resolution :premises (t312 a2))
% 10.57/11.07 (step t314 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t315)
% 10.57/11.07 (assume t315.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 10.57/11.07 (step t315.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule forall_inst :args ((:= X tptp.sk_c4)))
% 10.57/11.07 (step t315.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule or :premises (t315.t1))
% 10.57/11.07 (step t315.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t315.t2 t315.a0))
% 10.57/11.07 (step t315 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule subproof :discharge (t315.a0))
% 10.57/11.07 (step t316 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t314 t315))
% 10.57/11.07 (step t317 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule implies_neg2)
% 10.57/11.07 (step t318 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule resolution :premises (t316 t317))
% 10.57/11.07 (step t319 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule contraction :premises (t318))
% 10.57/11.07 (step t320 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule implies :premises (t319))
% 10.57/11.07 (step t321 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t320 t98))
% 10.57/11.07 (step t322 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t323)
% 10.57/11.07 (assume t323.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))
% 10.57/11.07 (assume t323.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))
% 10.57/11.07 (assume t323.a2 (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))
% 10.57/11.07 (assume t323.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.57/11.07 (assume t323.a4 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.57/11.07 (assume t323.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.57/11.07 (assume t323.a6 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.57/11.07 (assume t323.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 10.57/11.07 (assume t323.a8 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.57/11.07 (assume t323.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 10.57/11.07 (assume t323.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.57/11.07 (assume t323.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))
% 10.57/11.07 (step t323.t1 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t323.t2)
% 10.57/11.07 (assume t323.t2.a0 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 10.57/11.07 (assume t323.t2.a1 (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))
% 10.57/11.07 (assume t323.t2.a2 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.57/11.07 (assume t323.t2.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.57/11.07 (assume t323.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.57/11.07 (assume t323.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.57/11.07 (assume t323.t2.a6 (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))
% 10.57/11.07 (assume t323.t2.a7 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))
% 10.57/11.07 (assume t323.t2.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))
% 10.57/11.07 (assume t323.t2.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 10.57/11.07 (assume t323.t2.a10 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.57/11.07 (assume t323.t2.a11 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.57/11.07 (step t323.t2.t1 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t323.t2.a1))
% 10.57/11.07 (step t323.t2.t2 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule symm :premises (t323.t2.t1))
% 10.57/11.07 (step t323.t2.t3 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 10.57/11.07 (step t323.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule cong :premises (t323.t2.a3 t323.t2.t3))
% 10.57/11.07 (step t323.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t323.t2.a3))
% 10.57/11.07 (step t323.t2.t6 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t323.t2.t5 t323.t2.a11))
% 10.57/11.07 (step t323.t2.t7 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 10.57/11.07 (step t323.t2.t8 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.57/11.07 (step t323.t2.t9 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t323.t2.a3 t323.t2.t8))
% 10.57/11.07 (step t323.t2.t10 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t323.t2.t5 t323.t2.a10))
% 10.57/11.07 (step t323.t2.t11 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t323.t2.a9))
% 10.57/11.07 (step t323.t2.t12 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t323.t2.t11))
% 10.57/11.07 (step t323.t2.t13 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t323.t2.a10))
% 10.57/11.07 (step t323.t2.t14 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7))) :rule cong :premises (t323.t2.t12 t323.t2.t13))
% 10.57/11.07 (step t323.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7))) :rule symm :premises (t323.t2.a8))
% 10.57/11.07 (step t323.t2.t16 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule symm :premises (t323.t2.t15))
% 10.57/11.07 (step t323.t2.t17 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c7)) :rule symm :premises (t323.t2.a6))
% 10.57/11.07 (step t323.t2.t18 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t323.t2.t17))
% 10.57/11.07 (step t323.t2.t19 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c7)) :rule symm :premises (t323.t2.t18))
% 10.57/11.07 (step t323.t2.t20 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t323.t2.a7))
% 10.57/11.07 (step t323.t2.t21 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule symm :premises (t323.t2.t20))
% 10.57/11.07 (step t323.t2.t22 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t323.t2.t21))
% 10.57/11.07 (step t323.t2.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t323.t2.t19 t323.t2.t22))
% 10.57/11.07 (step t323.t2.t24 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t323.t2.a10 t323.t2.t9 t323.t2.t10 t323.t2.t14 t323.t2.t16 t323.t2.t23))
% 10.57/11.07 (step t323.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t323.t2.t7 t323.t2.t24))
% 10.57/11.07 (step t323.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t323.t2.a5))
% 10.57/11.07 (step t323.t2.t27 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule symm :premises (t323.t2.t26))
% 10.57/11.07 (step t323.t2.t28 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t323.t2.t27))
% 10.57/11.07 (step t323.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t323.t2.a4))
% 10.57/11.07 (step t323.t2.t30 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t323.t2.t29 t323.t2.a2))
% 10.57/11.07 (step t323.t2.t31 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t323.t2.a2))
% 10.57/11.07 (step t323.t2.t32 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t323.t2.a3 t323.t2.t31))
% 10.57/11.07 (step t323.t2.t33 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.57/11.07 (step t323.t2.t34 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t323.t2.t5 t323.t2.t33))
% 10.57/11.07 (step t323.t2.t35 (cl (= tptp.identity (tptp.inverse tptp.sk_c5))) :rule trans :premises (t323.t2.a4 t323.t2.t25 t323.t2.t28 t323.t2.t30 t323.t2.t32 t323.t2.t34 t323.t2.t31 t323.t2.t2))
% 10.57/11.07 (step t323.t2.t36 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t323.t2.a11))
% 10.57/11.07 (step t323.t2.t37 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule cong :premises (t323.t2.t35 t323.t2.t36))
% 10.57/11.07 (step t323.t2.t38 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t323.t2.a0))
% 10.57/11.07 (step t323.t2.t39 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule symm :premises (t323.t2.t38))
% 10.57/11.07 (step t323.t2.t40 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t323.t2.t39))
% 10.57/11.07 (step t323.t2.t41 (cl (= tptp.sk_c5 tptp.identity)) :rule trans :premises (t323.t2.a11 t323.t2.t4 t323.t2.t6 t323.t2.t37 t323.t2.t40))
% 10.57/11.07 (step t323.t2.t42 (cl (= (tptp.inverse tptp.sk_c5) (tptp.inverse tptp.identity))) :rule cong :premises (t323.t2.t41))
% 10.57/11.07 (step t323.t2.t43 (cl (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule trans :premises (t323.t2.t2 t323.t2.t42))
% 10.57/11.07 (step t323.t2 (cl (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule subproof :discharge (t323.t2.a0 t323.t2.a1 t323.t2.a2 t323.t2.a3 t323.t2.a4 t323.t2.a5 t323.t2.a6 t323.t2.a7 t323.t2.a8 t323.t2.a9 t323.t2.a10 t323.t2.a11))
% 10.57/11.07 (step t323.t3 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t323.t4 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t323.t5 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.57/11.07 (step t323.t6 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.57/11.07 (step t323.t7 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t323.t8 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.57/11.07 (step t323.t9 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.57/11.07 (step t323.t10 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t323.t11 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule and_pos)
% 10.57/11.07 (step t323.t12 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 10.57/11.07 (step t323.t13 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t323.t14 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t323.t15 (cl (= tptp.sk_c6 (tptp.inverse tptp.identity)) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))))) :rule resolution :premises (t323.t2 t323.t3 t323.t4 t323.t5 t323.t6 t323.t7 t323.t8 t323.t9 t323.t10 t323.t11 t323.t12 t323.t13 t323.t14))
% 10.57/11.07 (step t323.t16 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule reordering :premises (t323.t15))
% 10.57/11.07 (step t323.t17 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule contraction :premises (t323.t16))
% 10.57/11.07 (step t323.t18 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule resolution :premises (t323.t1 t323.t17))
% 10.57/11.07 (step t323.t19 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule implies_neg2)
% 10.57/11.07 (step t323.t20 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule resolution :premises (t323.t18 t323.t19))
% 10.57/11.07 (step t323.t21 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule contraction :premises (t323.t20))
% 10.57/11.07 (step t323.t22 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule implies :premises (t323.t21))
% 10.57/11.07 (step t323.t23 (cl (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_neg)
% 10.57/11.07 (step t323.t24 (cl (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule resolution :premises (t323.t23 t323.a9 t323.a2 t323.a6 t323.a3 t323.a5 t323.a10 t323.a1 t323.a0 t323.a11 t323.a7 t323.a4 t323.a8))
% 10.57/11.07 (step t323.t25 (cl (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule resolution :premises (t323.t22 t323.t24))
% 10.57/11.07 (step t323 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule subproof :discharge (t323.a0 t323.a1 t323.a2 t323.a3 t323.a4 t323.a5 t323.a6 t323.a7 t323.a8 t323.a9 t323.a10 t323.a11))
% 10.57/11.07 (step t324 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t325 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.57/11.07 (step t326 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t327 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.57/11.07 (step t328 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t329 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.57/11.07 (step t330 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.57/11.07 (step t331 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 10.57/11.07 (step t332 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t333 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 10.57/11.07 (step t334 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.57/11.07 (step t335 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule and_pos)
% 10.57/11.07 (step t336 (cl (= tptp.sk_c6 (tptp.inverse tptp.identity)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))))) :rule resolution :premises (t323 t324 t325 t326 t327 t328 t329 t330 t331 t332 t333 t334 t335))
% 10.57/11.07 (step t337 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule reordering :premises (t336))
% 10.57/11.07 (step t338 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule contraction :premises (t337))
% 10.57/11.07 (step t339 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule resolution :premises (t322 t338))
% 10.57/11.07 (step t340 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule implies_neg2)
% 10.57/11.07 (step t341 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule resolution :premises (t339 t340))
% 10.57/11.07 (step t342 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule contraction :premises (t341))
% 10.57/11.07 (step t343 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule implies :premises (t342))
% 10.57/11.07 (step t344 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule resolution :premises (t16 t343))
% 10.57/11.07 (step t345 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.identity)) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) :rule reordering :premises (t344))
% 10.57/11.07 (step t346 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2)))))) :rule resolution :premises (t281 t237 t13 t239 t15 t305 t313 t80 t197 t205 t321 t118 t126 t134 t150 t345 t313 t80 t197 t205 t321 t118 t126 t134 t150 t40 t313 t80 t197 t205 t321 t118 t126 t134 t150 t265))
% 10.57/11.07 (step t347 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule contraction :premises (t346))
% 10.57/11.07 (step t348 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2)))))) :rule implies_neg1)
% 10.57/11.07 (anchor :step t349)
% 10.57/11.07 (assume t349.a0 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))))
% 10.57/11.07 (step t349.t1 (cl (or (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))))) :rule forall_inst :args ((:= X2 tptp.sk_c4)))
% 10.57/11.07 (step t349.t2 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))))) :rule or :premises (t349.t1))
% 10.57/11.07 (step t349.t3 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t349.t2 t349.a0))
% 10.57/11.07 (step t349 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))))) :rule subproof :discharge (t349.a0))
% 10.57/11.07 (step t350 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t348 t349))
% 10.57/11.07 (step t351 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))))) :rule implies_neg2)
% 10.57/11.07 (step t352 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))))) (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))))) :rule resolution :premises (t350 t351))
% 10.57/11.07 (step t353 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))))) :rule contraction :premises (t352))
% 10.57/11.07 (step t354 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))))) :rule implies :premises (t353))
% 10.57/11.07 (step t355 (cl (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule or_pos)
% 10.57/11.07 (step t356 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))))) :rule reordering :premises (t355))
% 10.57/11.07 (step t357 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t347 t354 t356))
% 10.57/11.07 (step t358 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule contraction :premises (t357))
% 10.57/11.07 (step t359 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c6))) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule equiv_pos2)
% 10.57/11.07 (step t360 (cl (= (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule all_simplify)
% 10.57/11.07 (step t361 (cl (= (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule all_simplify)
% 10.57/11.07 (step t362 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) :rule cong :premises (t360 t361))
% 10.57/11.07 (step t363 (cl (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule resolution :premises (t359 t362 a6))
% 10.57/11.07 (step t364 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule or :premises (t363))
% 10.57/11.07 (step t365 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t364))
% 10.57/11.07 (step t366 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c5) tptp.sk_c6))) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))) :rule equiv_pos2)
% 10.57/11.07 (step t367 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))))) :rule cong :premises (t360 t43))
% 10.57/11.07 (step t368 (cl (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)))) :rule resolution :premises (t366 t367 a8))
% 10.57/11.07 (step t369 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule or :premises (t368))
% 10.57/11.07 (step t370 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t369))
% 10.57/11.07 (step t371 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c7))) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 10.57/11.07 (step t372 (cl (= (= (tptp.inverse tptp.sk_c4) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule all_simplify)
% 10.57/11.07 (step t373 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t360 t372))
% 10.57/11.07 (step t374 (cl (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t371 t373 a7))
% 10.57/11.07 (step t375 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule or :premises (t374))
% 10.57/11.07 (step t376 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t375))
% 10.57/11.07 (step t377 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t358 t365 t370 t376))
% 10.57/11.07 (step t378 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t377))
% 10.57/11.07 (step t379 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule resolution :premises (t280 t378))
% 10.57/11.07 (step t380 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) :rule resolution :premises (t46 t379))
% 10.57/11.07 (step t381 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c6))) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule equiv_pos2)
% 10.57/11.07 (step t382 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) :rule cong :premises (t42 t361))
% 10.57/11.07 (step t383 (cl (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule resolution :premises (t381 t382 a3))
% 10.57/11.07 (step t384 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule or :premises (t383))
% 10.57/11.07 (step t385 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule resolution :premises (t384 t379))
% 10.57/11.07 (step t386 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c7)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c7))) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 10.57/11.07 (step t387 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c7)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t42 t372))
% 10.57/11.07 (step t388 (cl (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t386 t387 a4))
% 10.57/11.07 (step t389 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule or :premises (t388))
% 10.57/11.07 (step t390 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule resolution :premises (t389 t379))
% 10.57/11.07 (step t391 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t40 t380 t385 t390 t150 t134 t126 t118 t321 t205 t197 t80 t313))
% 10.57/11.07 (step t392 (cl (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule resolution :premises (t345 t380 t385 t390 t150 t134 t126 t118 t321 t205 t197 t80 t313))
% 10.57/11.07 (step t393 (cl (not (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))))) :rule resolution :premises (t15 t391 t392))
% 10.57/11.07 (step t394 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))))) :rule resolution :premises (t13 t393))
% 10.57/11.07 (step t395 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) :rule resolution :premises (t305 t380 t385 t390 t150 t134 t126 t118 t321 t205 t197 t80 t313))
% 10.57/11.07 (step t396 (cl (not (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5)))))) :rule resolution :premises (t239 t380 t395))
% 10.57/11.07 (step t397 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))))))) :rule resolution :premises (t237 t396))
% 10.57/11.07 (step t398 (cl (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))))) :rule resolution :premises (t356 t385 t390))
% 10.57/11.07 (step t399 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))))) :rule resolution :premises (t354 t398))
% 10.57/11.07 (step t400 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))))) :rule resolution :premises (t265 t399))
% 10.57/11.07 (step t401 (cl) :rule resolution :premises (t6 t394 t397 t399 t380 t400))
% 10.57/11.07
% 10.57/11.07 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.1nuMGCVmee/cvc5---1.0.5_22368.smt2
% 10.57/11.08 % cvc5---1.0.5 exiting
% 10.57/11.08 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------